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1320100 = 225243307
BaseRepresentation
bin101000010010010100100
32111001211121
411002102210
5314220400
644143324
714135455
oct5022244
92431747
101320100
118218a1
12537b44
13372b32
1426512c
151b121a
hex1424a4

1320100 has 36 divisors (see below), whose sum is σ = 2940784. Its totient is φ = 514080.

The previous prime is 1320091. The next prime is 1320107. The reversal of 1320100 is 10231.

It is not an unprimeable number, because it can be changed into a prime (1320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4147 + ... + 4453.

21320100 is an apocalyptic number.

1320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470392).

1320100 is an abundant number, since it is smaller than the sum of its proper divisors (1620684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320100 is a wasteful number, since it uses less digits than its factorization.

1320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1320100 is about 1148.9560478974. The cubic root of 1320100 is about 109.6989010830.

Adding to 1320100 its reverse (10231), we get a palindrome (1330331).

The spelling of 1320100 in words is "one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 307 430 614 860 1075 1228 1535 2150 3070 4300 6140 7675 13201 15350 26402 30700 52804 66005 132010 264020 330025 660050 1320100